Spectral resolution of the Liouvillian of the Lindblad master equation for a harmonic oscillator

DOI10.1063/1.3442363zbMath1311.81162arXiv1004.2044OpenAlexW3098278123MaRDI QIDQ5251806

Motoyuki Yoshida, Daigo Honda, Hiromichi Nakazato

Publication date: 21 May 2015

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1004.2044

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Open systems, reduced dynamics, master equations, decoherence (81S22)

Related Items (3)

Eigenvalues of the liouvillians of quantum master equation for a harmonic oscillator ⋮ Equilibrium properties and decoherence of an open harmonic oscillator ⋮ Liouvillian exceptional points in continuous variable system

Cites Work

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• General state changes in quantum theory
• On the generators of quantum dynamical semigroups
• GENERAL SOLUTION OF THE QUANTUM DAMPED HARMONIC OSCILLATOR
• Biorthonormal eigenbasis of a Markovian master equation for the quantum Brownian motion
• Completely positive dynamical semigroups of N-level systems

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